Question

Tom and Jerry each has some money. if Tom spends $90/day and Jerry

spends
$45/day, Tom will have $1100 left when Jerry has spent all his
money. if Tom
spends $45/day and Jerry spends $90/day, Tom will have $1700 left
when Jerry
has spent all his money. how much did Jerry have?

Answer 1

400

Explanation:

Answer 2

$400

Explanation:

Let T be Tom's initial money amount and J be Jerry's initial money amount.

`T - \$90*n_1 = \$1100\\J - \$45*n_1 = 0\\\\T - \$45*n_2 = \$1700\\J - \$90*n_2 = 0\\`

Solving this linear system:

`T-2J =\$1100\\2T-J = \$3400\\3J=\$3,400-\$2,200\\J=\$400`

Jerry initially had $400.